For the given triangle, the value of x equals 30.9892 units.
Step-by-step explanation:
Step 1:
In the triangle, the angle is 40°, the opposite side has a length of 26 units, the adjacent side has a length of x units while the hypotenuse is not given.
To determine the value of x, we determine the value of the tan of the given triangle.
To calculate the tan of angle A we divide the opposite side's length by the the adjacent side's length.
Step 2:
The length of the opposite side = 26 units.
The length of the adjacent side = x units.
So x measures 30.9892 units.
(4+3)x(4+4) this should be the answer
This question is incomplete, the complete question is;
For integers a, b and k, we know that a > 12, b < 20 and a < b. If b=7k, what is the value of k ?
Answer: the value of k = 2
Step-by-step explanation:
Given that;
a > 12
b < 20
a < b
If b = 7k
Now if k = 1 {b = 7k = 7}
b would be equal to 7 but b has to be greater than 20
IT CANT BE
if k = 2 { b = 7k = 14}
b would be equal to 14, a is greater than 12, b has to be less than b; 14 < 20,
a has to be less than than b ( 12 < 14 )
IT IS
if k = 3 {b = 7k = 21}
b would be equal to 21, so b is greater than 20 and a is less than 21
IT CANT BE
Therefore the value of k = 2
Answer is in the pic above. Theorems used:
Exterior angle theorem
Inscribed angle theorem.
4 Triangles 1/2(6)6()= 18 18x4= 72
5 squares 3X3=9. 5x9= 45
72+45= 117 sq in
